Bump conditions and two-weight inequalities for commutators of fractional integrals
Volume 171 / 2023
Colloquium Mathematicum 171 (2023), 251-268
MSC: Primary 42B20; Secondary 42B25, 42B35, 47B47.
DOI: 10.4064/cm8703-4-2022
Published online: 8 September 2022
Abstract
This paper gives new two-weight bump conditions for sparse operators related to iterated commutators of fractional integrals. As applications, two-weight bounds for iterated commutators of fractional integrals under more general bump conditions are obtained. Necessary two-weight bump conditions including the converse of Bloom type estimates for iterated commutators of fractional integrals are also studied.
